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Finding the Fourth Proportional to 612.70, 917.13 and 457.74

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Solution

The fourth proportional to 612.70, 917.13 and 457.74 is: 685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 917.13 = 457.74 : x
  2. Step 2: Convert to fraction form
    612.70/917.13 = 457.74/x
  3. Step 3: Cross multiply
    612.70x = 917.13 × 457.74
  4. Step 4: Simplify right side
    612.70x = 419,807.09
  5. Step 5: Solve for x
    x = 419,807.09/612.70
  6. Step 6: Final answer
    x = 685.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.